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    ARTICLE

    On Improving the Celebrated Paris’ Power Law for Fatigue, by Using Moving Least Squares

    Leiting Dong1,2, Robert Haynes3, Satya N. Atluri2

    CMC-Computers, Materials & Continua, Vol.45, No.1, pp. 1-16, 2015, DOI:10.3970/cmc.2015.045.001

    Abstract In this study, we propose to approximate the a-n relation as well as the da/dn-∆K relation, in fatigue crack propagation, by using the Moving Least Squares (MLS) method. This simple approach can avoid the internal inconsistencies caused by the celebrated Paris’ power law approximation of the da/dn-∆K relation, as well as the error caused by a simple numerical differentiation of the noisy data for a-n measurements in standard fatigue tests. Efficient, accurate and automatic simulations of fatigue crack propagation can, in general, be realized by using the currently developed MLS law as the “fatigue engine” [da/dn versus ∆K],… More >

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